Article ID Journal Published Year Pages File Type
841504 Nonlinear Analysis: Theory, Methods & Applications 2011 7 Pages PDF
Abstract

We prove that every local operator acting between two Hölder spaces HϕHϕ and HψHψ is a Nemytskij operator and if Hϕ⊈HψHϕ⊈Hψ then it is a constant map. Moreover, we show that if KK is local and uniformly continuous then it is an affine mapping.

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Physical Sciences and Engineering Engineering Engineering (General)
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